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4466893680 = 243256204019
BaseRepresentation
bin1000010100011111…
…10110001101110000
3102112022020201011200
410022033312031300
533122011044210
62015125011200
7215456653434
oct41217661560
912468221150
104466893680
111992499377
12a47b53b00
13562584972
1430536c9c4
151b224e0c0
hex10a3f6370

4466893680 has 60 divisors (see below), whose sum is σ = 15001320360. Its totient is φ = 1191171456.

The previous prime is 4466893663. The next prime is 4466893721. The reversal of 4466893680 is 863986644.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3101290 + ... + 3102729.

It is an arithmetic number, because the mean of its divisors is an integer number (250022006).

Almost surely, 24466893680 is an apocalyptic number.

4466893680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4466893680 is an abundant number, since it is smaller than the sum of its proper divisors (10534426680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4466893680 is a wasteful number, since it uses less digits than its factorization.

4466893680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204038 (or 6204029 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4466893680 is about 66834.8238570283. The cubic root of 4466893680 is about 1646.9049638650.

The spelling of 4466893680 in words is "four billion, four hundred sixty-six million, eight hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6204019 12408038 18612057 24816076 31020095 37224114 49632152 55836171 62040190 74448228 93060285 99264304 111672342 124080380 148896456 186120570 223344684 248160760 279180855 297792912 372241140 446689368 496321520 558361710 744482280 893378736 1116723420 1488964560 2233446840 4466893680